Algebra II : FOIL

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #202 : Intermediate Single Variable Algebra

Expand .

Possible Answers:

Correct answer:

Explanation:

To FOIL (First, Outer, Inner, Last), we start by multiplying the first term in each grouping together:

Then we multiply the outer terms together (the first term in the first grouping, the last term in the second grouping):

Then we multiply the inner terms together (the second term in the first grouping, the first term in the second grouping):

And finally the last term in each grouping:

We can then collect everything back into our function:

And combine like terms (in this case, both terms with an  in them):

Example Question #41 : Quadratic Equations And Inequalities

Expand out the following expression.

Possible Answers:

Correct answer:

Explanation:

This problem uses the distributive property. When using the distributive property on two sums, we apply the FOIL method. FOIL is an acronym that means, First, Outer, Inner, Last. This means we multiply the first term by the first term, the outer term by the outer term, the inner term by the inner term, and the last term by the last term. Take all of these products and add them together. To put this in a more general equation:

Applying this formula to our problem we have,

 

And thus, our answer is

 

Example Question #41 : Understanding Quadratic Equations

Use FOIL to multiply:

.

Possible Answers:

Correct answer:

Explanation:

Recall that FOIL means multiplying the first terms, then outside terms, next inside terms, and finally, the last terms:

.

Then, combine like terms to get your answer of

.

Example Question #43 : Quadratic Equations And Inequalities

Expand:  

Possible Answers:

 

Correct answer:

 

Explanation:

Use the FOIL method to expand the binomials.

Simplify the terms on the right side of the equal sign.

Combine like-terms.

The answer is:  

Example Question #42 : Quadratic Equations And Inequalities

Multiply:

Possible Answers:

Correct answer:

Explanation:

Use FOIL to multiply these binomials.

First multiply the first terms

,

then the outside terms

,

next the inside terms

,

and finally, the last terms

.

That gives you

.

Combine like terms to get your final answer of

.

Example Question #43 : Quadratic Equations And Inequalities

Multiply:

Possible Answers:

Correct answer:

Explanation:

Remember to use FOIL when multiplying.

Multiply the first terms

,

then the outside terms

,

next the inside terms

,

and finally, the last terms

.

Put those all together to get your answer:

Example Question #46 : Quadratic Equations And Inequalities

Use the FOIL method to simplify:  

Possible Answers:

Correct answer:

Explanation:

Distribute the first term of the binomial with both terms of the second binomial.

Distribute the second term of the binomial with both terms of the second binomial.

Add the terms together.

The answer is:  

Example Question #1342 : Algebra Ii

Possible Answers:

Correct answer:

Explanation:

To multiply these two binomials, use FOIL.

Multiply the first terms

,

then the outside terms

,

next the inside terms

,

and finally the last terms

.

Put those all together to get:

.

Combine like terms to get your final answer of

Example Question #22 : Foil

Expand:  

Possible Answers:

Correct answer:

Explanation:

Expand by using the FOIL method.

Simplify each term.

Combine like terms.

The answer is:  

Example Question #24 : Foil

Compute:  

Possible Answers:

Correct answer:

Explanation:

Expand the expression by using the FOIL method.

Simplify all the terms.

Combine like-terms.

The answer is:  

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